As an aid to game play and game designing, here's a couple of tables to show you the chances to roll a particular total (or a particular total or less) using two six-sided dice and three six-sided dice.
As per house rule, rolls count only when they're on the table.
Total | Fraction For Exact Total | Percentage For Exact Total | Fraction For Total Or Less | Percentage For Total Or Less |
2 | 1/36 | 2.8% | 1/36 | 2.8% |
3 | 1/18 | 5.6% | 3/36 | 8.3% |
4 | 1/12 | 8.3% | 6/36 | 16.7% |
5 | 1/9 | 11.1% | 10/36 | 27.8% |
6 | 5/36 | 13.9% | 15/36 | 41.7% |
7 | 1/6 | 16.7% | 21/36 | 58.3% |
8 | 5/36 | 13.9% | 26/36 | 72.2% |
9 | 1/9 | 11.1% | 30/36 | 83.3% |
10 | 1/12 | 8.3% | 33/36 | 91.7% |
11 | 1/18 | 5.6% | 35/36 | 97.2% |
12 | 1/36 | 2.8% | 36/36 | 100% |
Total | Fraction For Exact Total | Percentage For Exact Total | Fraction For Total Or Less | Percentage For Total Or Less |
3 | 1/216 | 0.5% | 1/216 | 0.5% |
4 | 3/216 | 1.4% | 4/216 | 1.9% |
5 | 6/216 | 2.8% | 10/216 | 4.6% |
6 | 10/216 | 4.6% | 20/216 | 9.3% |
7 | 15/216 | 6.9% | 35/216 | 16.2% |
8 | 21/216 | 9.7% | 56/216 | 25.9% |
9 | 25/216 | 11.6% | 81/216 | 37.5% |
10 | 27/216 | 12.5% | 108/216 | 50.0% |
11 | 27/216 | 12.5% | 135/216 | 62.5% |
12 | 25/216 | 11.6% | 160/216 | 74.1% |
13 | 21/216 | 9.7% | 181/216 | 83.8% |
14 | 15/216 | 6.9% | 196/216 | 90.7% |
15 | 10/216 | 4.6% | 206/216 | 95.4% |
16 | 6/216 | 2.8% | 212/216 | 98.1% |
17 | 3/216 | 1.4% | 215/216 | 99.5% |
18 | 1/216 | 0.5% | 216/216 | 100% |
Roll up to the top of this page, the top of the two six-sided table, the top of the three six-sided table or toss back to the 8 Arrows home page.